DLS
Sun 15 - Fri 20 November 2020 Online Conference
co-located with SPLASH 2020
Thu 19 Nov 2020 05:00 - 05:20 at SPLASH-III - 5 Chair(s): Xavier Rival, Sukyoung Ryu
Wed 18 Nov 2020 17:00 - 17:20 at SPLASH-III - 5 Chair(s): Patrick Cousot, Sukyoung Ryu

Deep Neural Networks (DNNs) are rapidly being applied to safety-critical domains such as drone and airplane control, motivating techniques for verifying the safety of their behavior. Unfortunately, DNN verification is NP-hard, with current algorithms slowing exponentially with the number of nodes in the DNN. This paper introduces the notion of Abstract Neural Networks (ANNs), which can be used to soundly overapproximate DNNs while using fewer nodes. An ANN is like a DNN except weight matrices are replaced by values in a given abstract domain. We present a framework parameterized by the abstract domain and activation functions used in the DNN that can be used to construct a corresponding ANN. We present necessary and sufficient conditions on the DNN activation functions for the constructed ANN to soundly over-approximate the given DNN. Prior work on DNN abstraction was restricted to the interval domain and ReLU activation function. Our framework can be instantiated with other abstract domains such as octagons and polyhedra, as well as other activation functions such as Leaky ReLU, Sigmoid, and Hyperbolic Tangent.

Wed 18 Nov
Times are displayed in time zone: Central Time (US & Canada) change

17:00 - 18:20: 5SAS / DLS 2020 at SPLASH-III +12h
Chair(s): Patrick CousotNew York University, Sukyoung Ryu
17:00 - 17:20
Research paper
SAS
Matthew SotoudehUniversity of California, Davis, Aditya V. ThakurUniversity of California, Davis
Pre-print Media Attached
17:20 - 17:40
Talk
DLS 2020
Yusuke IzawaTokyo Institute of Technology, Hidehiko MasuharaTokyo Institute of Technology
Link to publication DOI Pre-print Media Attached
17:40 - 18:00
Research paper
SAS
Ravi MangalGeorgia Institute of Technology, Kartik SarangmathGeorgia Institute of Technology, Aditya Nori, Alessandro OrsoGeorgia Tech
Pre-print Media Attached
18:00 - 18:20
Talk
DLS 2020
Dejice JacobUniversity of Glasgow, UK, Phil TrinderUniversity of Glasgow, Jeremy SingerGlasgow University
Link to publication DOI Pre-print Media Attached

Thu 19 Nov
Times are displayed in time zone: Central Time (US & Canada) change

05:00 - 06:20: 5SAS / DLS 2020 at SPLASH-III
Chair(s): Xavier RivalINRIA/CNRS/ENS Paris, Sukyoung Ryu
05:00 - 05:20
Research paper
SAS
Matthew SotoudehUniversity of California, Davis, Aditya V. ThakurUniversity of California, Davis
Pre-print Media Attached
05:20 - 05:40
Talk
DLS 2020
Yusuke IzawaTokyo Institute of Technology, Hidehiko MasuharaTokyo Institute of Technology
Link to publication DOI Pre-print Media Attached
05:40 - 06:00
Research paper
SAS
Ravi MangalGeorgia Institute of Technology, Kartik SarangmathGeorgia Institute of Technology, Aditya Nori, Alessandro OrsoGeorgia Tech
Pre-print Media Attached
06:00 - 06:20
Talk
DLS 2020
Dejice JacobUniversity of Glasgow, UK, Phil TrinderUniversity of Glasgow, Jeremy SingerGlasgow University
Link to publication DOI Pre-print Media Attached